To find the radius of the cone, we can use the formula for the volume of a cone:
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( V \) is the volume
- \( r \) is the radius
- \( h \) is the height
You provided the volume \( V = 763.02 \) cubic millimeters, and we will assume \( h \) is known or provided, but let's find the radius \( r \) with the assumption of \( h \).
Given: \[ V = 763.02 , \text{cubic mm} \] \[ \pi \approx 3.14 \]
The equation for volume can be rearranged to solve for the radius \( r \):
\[ r^2 = \frac{3V}{\pi h} \] \[ r = \sqrt{\frac{3V}{\pi h}} \]
Without knowing the height \( h \), we will need it to find an exact numerical value for \( r \). However, if you provide the height, I can calculate the radius for you. Can you provide the height of the cone?
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